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58437260644 = 22723125572
BaseRepresentation
bin110110011011001000…
…011101010101100100
312120211121000102100211
4312123020131111210
51424134414320034
642502401145204
74136062343200
oct663310352544
9176747012324
1058437260644
1122868345934
12b3aa62b204
135683a6c149
142b850dbb00
1517c0463d64
hexd9b21d564

58437260644 has 81 divisors (see below), whose sum is σ = 123143909049. Its totient is φ = 24193139040.

The previous prime is 58437260617. The next prime is 58437260647. The reversal of 58437260644 is 44606273485.

The square root of 58437260644 is 241738.

It is a perfect power (a square), and thus also a powerful number.

58437260644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5127992100 + 53309268544 = 71610^2 + 230888^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (58437260647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104914014 + ... + 104914570.

Almost surely, 258437260644 is an apocalyptic number.

58437260644 is the 241738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58437260644

58437260644 is an abundant number, since it is smaller than the sum of its proper divisors (64706648405).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58437260644 is an equidigital number, since it uses as much as digits as its factorization.

58437260644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

Multiplying 58437260644 by its sum of digits (49), we get a square (2863425771556 = 16921662).

58437260644 divided by its sum of digits (49) gives a square (1192597156 = 345342).

The spelling of 58437260644 in words is "fifty-eight billion, four hundred thirty-seven million, two hundred sixty thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 557 868 961 1114 1519 1922 2228 3038 3844 3899 6076 6727 7798 13454 15596 17267 26908 27293 34534 47089 54586 69068 94178 109172 120869 188356 241738 310249 483476 535277 620498 846083 1070554 1240996 1692166 2141108 2171743 3384332 3746939 4343486 7493878 8686972 9617719 14987756 15202201 19235438 26228573 30404402 38470876 52457146 60808804 67324033 104914292 134648066 269296132 298149289 471268231 596298578 942536462 1192597156 1885072924 2087045023 4174090046 8348180092 14609315161 29218630322 58437260644